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If a normal at any point on the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1(a gt b)`meet the major and minor axes at `M`and `N` respectively, such that `(P M)/(P N)=(2)/(3)`, then the eccentricity =

A

`(1)/(sqrt(2))`

B

`(sqrt(2))/(3)`

C

` sqrt((2)/(3))`

D

` (1)/(sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
D
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